一类新型非线性随机系统微分状态估计器和控制器

本文提出一类不依赖被估计系统模型微分状态估计器,参数少、精度高,通过分析其根轨迹和极点要求配置合适的参数;给出了完整的稳定性和收敛性证明;频率特性分析表明,该估计器具有较好的滤波特性.另外,基于所提出的估计器,本文设计了不依赖非线性系统模型的高阶微分反馈控制器.该控制器稳定性好,鲁棒性强.最后,通过几个仿真例子验证了所提出理论的正确性.

A New Differential State Estimator and Controller for Nonlinear Stochastic System

This paper presents a new differential state estimator, which does not rely on the model of the estimated system and has higher accuracy with a few parameters.Its parameters are distributed through root-locus and pole requirements.Stability and convergence of the estimator are proved. Frequency characteristic analysis shows its high quality filtering property. Further more, based on the estimator a high order differential feedback controller is designed, which does not rely on the model of the nonlinear system, and has well stability and robustness. Lastly,to illustrate,two simulation examples are given.